Document Zbl 1113.46001

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Aqzzouz, B.; Elalj, M. H.; Nouira, R.

On Bartle–Graves theorem in the category of quotient bornological spaces. (Sur le théorème de Bartle–Graves dans la catégorie des quotients bornologiques.) (French. English summary) Zbl 1113.46001

Math. Bohem. 130, No. 4, 371-385 (2005).

Summary: We prove the Bartle–Graves theorem in the category of quotient bornological spaces. Also, this permits us to define some spaces of functions taking their values in quotient bornological spaces.

MSC:

46A17	Bornologies and related structures; Mackey convergence, etc.
46M15	Categories, functors in functional analysis

Keywords:

quotient bornological space; exact functor

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